Pith Number

pith:4YRXFVR5

pith:2016:4YRXFVR5WERYSMQ2Q7SHDNWXIT

not attested not anchored not stored refs pending

Tauberian properties for monomial summability with applications to Pfaffian systems

Jorge Mozo-Fern\'andez, Sergio A. Carrillo

arxiv:1603.02840 v2 · 2016-03-09 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YRXFVR5WERYSMQ2Q7SHDNWXIT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:50:47.379915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62372d63db12389321a87e471b6d744fb6fa9b927b08ae61ad37b7a593e141e

Aliases

arxiv: 1603.02840 · arxiv_version: 1603.02840v2 · doi: 10.48550/arxiv.1603.02840 · pith_short_12: 4YRXFVR5WERY · pith_short_16: 4YRXFVR5WERYSMQ2 · pith_short_8: 4YRXFVR5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4YRXFVR5WERYSMQ2Q7SHDNWXIT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e62372d63db12389321a87e471b6d744fb6fa9b927b08ae61ad37b7a593e141e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a650a4e90f62577f86a43d13e335b127101c8155701c375a89df4579472f4782",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-09T10:57:57Z",
    "title_canon_sha256": "23d2036b44eeab9d165c98bbaa37c96a8e6ccd78cc0d69d01f67e3dd1edcb6d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02840",
    "kind": "arxiv",
    "version": 2
  }
}